某一数字多用表,最大允许误差为 Delta_({仪)} = 0.08, (k)Omega。用此仪表测高值电阻共测量 10 次,数据如下:999.31, (k)Omega,999.41, (k)Omega,999.59, (k)Omega,999.26, (k)Omega,999.54, (k)Omega,999.23, (k)Omega,999.14, (k)Omega,999.06, (k)Omega,999.92, (k)Omega,999.62, (k)Omega。求测量结果的过程,下面哪一个正确?A(1) overline(R) = (1)/(10) sum_(i=1)^10 R_i = ?(2) 实验标准差 S_n = sqrt((sum_(i=1)^n (R_i - overline{R))^2)/(n-1)} = ?(3) 平均值的标准差 S_R = (s_n)/(sqrt(n)) = ?(4) 不确定度分量 A 类评定 u_A = S_R = ?(5) 不确定度分量 B 类评定 u_B = (Delta_({仪)})/(sqrt(3)) = ?(6) 测量结果的标准不确定度 u = sqrt(u_A^2 + u_B^2),扩展不确定度为 U = 2u = ?(7) 试写出测量结果表达式 R = (overline(R) pm U), (k)Omega;k = 2B(1) overline(R) = (1)/(10) sum_(i=1)^10 R_i = ?(2) S_n = sqrt((sum_(i=1)^n (R_i - overline{R))^2)/(n-1)} = ?
某一数字多用表,最大允许误差为 $\Delta_{\text{仪}} = 0.08\, \text{k}\Omega$。用此仪表测高值电阻共测量 10 次,数据如下:$999.31\, \text{k}\Omega$,$999.41\, \text{k}\Omega$,$999.59\, \text{k}\Omega$,$999.26\, \text{k}\Omega$,$999.54\, \text{k}\Omega$,$999.23\, \text{k}\Omega$,$999.14\, \text{k}\Omega$,$999.06\, \text{k}\Omega$,$999.92\, \text{k}\Omega$,$999.62\, \text{k}\Omega$。 求测量结果的过程,下面哪一个正确? A (1) $\overline{R} = \frac{1}{10} \sum_{i=1}^{10} R_i = ?$ (2) 实验标准差 $S_n = \sqrt{\frac{\sum_{i=1}^{n} (R_i - \overline{R})^2}{n-1}} = ?$ (3) 平均值的标准差 $S_R = \frac{s_n}{\sqrt{n}} = ?$ (4) 不确定度分量 A 类评定 $u_A = S_R = ?$ (5) 不确定度分量 B 类评定 $u_B = \frac{\Delta_{\text{仪}}}{\sqrt{3}} = ?$ (6) 测量结果的标准不确定度 $u = \sqrt{u_A^2 + u_B^2}$,扩展不确定度为 $U = 2u = ?$ (7) 试写出测量结果表达式 $R = (\overline{R} \pm U)\, \text{k}\Omega$;$k = 2$ B (1) $\overline{R} = \frac{1}{10} \sum_{i=1}^{10} R_i = ?$ (2) $S_n = \sqrt{\frac{\sum_{i=1}^{n} (R_i - \overline{R})^2}{n-1}} = ?$